The Method of Self-Consistent Field and Macroscopical Einstein Equations for the Early Universe

Abstract

The complete theory of cosmological evolution's macroscopic description is constructed with a help of self-consistent field. The theory includes a subsystem of linear equations of perturbations' evolution and nonlinear macroscopic Einstein equations and equations of a scalar field. We provide examples of system's solution which show the principal difference of the cosmological models of the early Universe built on homogenous and locally fluctuating scalar fields. {\bf Keywords}: macroscopic gravitation, self-consistent field, cosmological model, scalar fields, averaging of local fluctuations, asymptotical behavior, cosmological singularity.

19 page, 39 references. arXiv admin note: text overlap with arXiv:1908.03488

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• The Stability of the Cosmological System of Degenerate Scalar Charged Fermions and Higgs Scalar Fields. II. The Evolution of Short-Wave Perturbations
• Gravitational-Scalar Instability of a Cosmological Model Based on a Two-Component System of Degenerate Scalarly Charged Fermions with Asymmetric Higgs Interaction. I. Equations for Perturbations